Question

homework assignment 6.3 logarithmic func
due sunday by 11:59pm points 13 submitting an external tool
homework assignment 6.3 logarithmic functions
score: 0/13 answered: 2/13
question 3
write the equation in logarithmic form.
assume that all constants are positive and not equal to 1.
8^{n}=a
to enter log bases, use the underscore key.
for example, \\( \log _{2}(x) \\) is entered, \log_2(x)\.
question help: video read written example

Explanation:

Step1: Recall the exponential - logarithmic form conversion

If \(b^y = x\) (where \(b>0,b
eq1\)), then the logarithmic form is \(\log_bx=y\).
In the given equation \(8^n=a\), we have \(b = 8\), \(y=n\), and \(x = a\).

Step2: Write the logarithmic form

Substituting the values of \(b\), \(x\), and \(y\) into the logarithmic formula \(\log_bx=y\), we get \(\log_8a=n\).

Answer:

\(\log_8a=n\)